Roger Horn

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Roger Alan Horn
Residence United States
Nationality American
Alma mater Cornell University
Stanford University
Known for Matrix analysis
Bateman-Horn conjecture
Spouse(s) Susan Horn
Scientific career
Fields Mathematics
Institutions University of Santa Clara
Johns Hopkins University
University of Maryland, Baltimore County
University of Utah
Thesis Infinitely Divisible Matrices, Kernels, and Functions (1967)
Doctoral advisor Donald C. Spencer, Charles Loewner
Influences Gene Golub[1]

Roger Alan Horn is an American mathematician specializing in matrix analysis. He is a professor of mathematics at the University of Utah. He is known for formulating the Bateman–Horn conjecture with Paul T. Bateman on the density of prime number values generated by systems of polynomials.[2] His books Matrix Analysis and Topics in Matrix Analysis, co-written with Charles R. Johnson, are standard texts in advanced linear algebra.[3][4][5]


Roger Horn graduated from Cornell University with high honors in mathematics in 1963,[6] after which he completed his PhD at Stanford University in 1967. Horn was the founder and chair of the Department of Mathematical Sciences at Johns Hopkins University from 1972 to 1979.[7] As chair, he held a series of short courses for a monograph series published by the Johns Hopkins Press. He invited Gene Golub and Charles Van Loan to write a monograph, which later became the seminal Matrix Computations text book.[8] He later joined the Department of Mathematics at the University of Utah. In 2007, the journal Linear Algebra and its Applications published a special issue in honor of Roger Horn.[9]

Personal life[edit]

In 1987, Horn submitted a testimony to the US Senate Subcommittee on Transportation regarding the 1987 Maryland train collision which killed his 16-year-old daughter Ceres who was returning to Princeton University from the family home in Baltimore for her freshman year fall term final exams.[10]


Horn, Roger A.; Johnson, Charles R. (2012). Matrix Analysis (2nd ed.). Cambridge University Press. ISBN 052-183-940-8. 


  1. ^ Higham, Nick; Golub, Gene. "In His Own Words". SIAM News. Society for Industrial and Applied Mathematics. Retrieved 13 February 2017. 
  2. ^ Bateman, Paul T.; Horn, Roger A. (1962), "A heuristic asymptotic formula concerning the distribution of prime numbers", Mathematics of Computation, 16: 363–367, doi:10.2307/2004056, MR 0148632 
  3. ^ "Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521386326: Books". Retrieved 27 October 2014. 
  4. ^ "Topics in Matrix Analysis: Roger A. Horn, Charles R. Johnson: 9780521467131: Books". Retrieved 27 October 2014. 
  5. ^ Marcus, Marvin (1992). "Review: Topics in Matrix Analysis, by Roger A. Horn and Charles R. Johnson". Bull. Amer. Math. Soc. (N.S.). 27 (1): 191–198. doi:10.1090/s0273-0979-1992-00296-3. 
  6. ^ "The Class of 1963". The Cornell Daily Sun. 79 (151): 20. 7 June 1963. Retrieved 13 February 2017. 
  7. ^ "Department History". Department of Applied Mathematics & Statistics. Johns Hopkins University. Retrieved 13 February 2017. 
  8. ^ Chan, Raymond H.; Greif, Chen; O'Leary, Dianne P. (2007). Milestones in Matrix Computation: Selected Works of Gene H. Golub, with commentaries. Oxford: Oxford Univ. Press. p. 10. ISBN 0199206813. 
  9. ^ "Special Issue in honor of Roger Horn". Linear Algebra and its Applications. 424 (1): 1–338. 1 July 2007. Retrieved 13 February 2017. 
  10. ^ Horn, Roger (20 January 1987). "Remarks on Transportation Safety, Based on Testimony to the Senate Subcommittee on Transportation, Committee on Appropriations".